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非线性系统输出调节问题可解的充要条件是存在一个中。心流形满足某个非线性偏微分方程。本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。在此基础上，构造状态反馈控制律，实现非线性系统的输出调节。
The necessary and sufficient condition for solving the nonlinear system output adjustment problem is to exist. Psychic manifold satisfies some nonlinear partial differential equation. In this paper, the multi-layer neural network is used to solve the nonlinear partial differential equation to approximate the central manifold of nonlinear systems. On this basis, the state feedback control law is constructed to realize the output regulation of nonlinear system.